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On Type-2 Fuzzy Sets and Type-2 Fuzzy Systems
Journal of Mathematical Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation of Fuzzy Sets by Interval Type-2 Trapezoidal Fuzzy Sets
IEEE Transactions on Cybernetics, 2020In this paper, we propose a gradient-based method to approximate a fuzzy set through a trapezoidal fuzzy set (TFS). By adding some constraints in the formulated optimization problem, the major characteristics of the fuzzy set such as the core, the major part of the support, and the shape of the membership function could be preserved; also the form of ...
Yinghua Shen +2 more
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Approximated Type-2 Fuzzy Set Operations
2006 IEEE International Conference on Fuzzy Systems, 2006Type-2 fuzzy sets, an elaboration over type-1 fuzzy sets, are an interesting method for handling uncertainty in rules and parameters in fuzzy systems. However, their adoption has not been as wide as one could have expected. In this paper we provide a simple introduction to type-2 fuzzy sets; then we propose a novel method for calculating operations on ...
Hooman Tahayori +2 more
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2011 IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems (T2FUZZ), 2011
Type-2 fuzzy sets extend the expressive capabilities of type-1 fuzzy sets in that, in addition to represent imprecise concepts, they are able to represent the imprecision in the membership function of fuzzy sets. Their use is particularly appropriate when modelling linguistic concepts such as words that mean slightly different things to different ...
Jonathan M. Garibaldi, Sergio Guadarrama
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Type-2 fuzzy sets extend the expressive capabilities of type-1 fuzzy sets in that, in addition to represent imprecise concepts, they are able to represent the imprecision in the membership function of fuzzy sets. Their use is particularly appropriate when modelling linguistic concepts such as words that mean slightly different things to different ...
Jonathan M. Garibaldi, Sergio Guadarrama
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2015
In this paper, we introduce specific types of intuitionistic fuzzy sets, inspired by the multi-dimensional intuitionistic fuzzy sets and the General Type-2 fuzzy sets. The newly proposed sets extend the opportunities of the General Type-2 fuzzy sets when modelling of particular types of uncertainty.
Oscar Castillo +3 more
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In this paper, we introduce specific types of intuitionistic fuzzy sets, inspired by the multi-dimensional intuitionistic fuzzy sets and the General Type-2 fuzzy sets. The newly proposed sets extend the opportunities of the General Type-2 fuzzy sets when modelling of particular types of uncertainty.
Oscar Castillo +3 more
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Type-2 fuzzy sets applications
2008 6th International Symposium on Applied Machine Intelligence and Informatics, 2008In the paper a short review of basic type-2 terms and some special possibilities related to the distance-base operator applications are given. One of the possible type-2 fuzzy logic system applications is represented for signal processing problems, because type-2 FLSs can handle second level of uncertainties of the stochastic error measurements using ...
Marta Takacs, Karoly Nagy
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SIMILARITY MEASURES BETWEEN TYPE-2 FUZZY SETS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004In this paper, we give similarity measures between type-2 fuzzy sets and provide the axiom definition and properties of these measures. For practical use, we show how to compute the similarities between Gaussian type-2 fuzzy sets. Yang and Shih's [22] algorithm, a clustering method based on fuzzy relations by beginning with a similarity matrix, is ...
Hung, Wen-Liang, Yang, Miin-Shen
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Shadowed Type-2 Fuzzy Sets -Type-2 Fuzzy Sets with shadowed secondary membership functions
2012 IEEE International Conference on Fuzzy Systems, 2012General Type-2 Fuzzy Sets (GT2 FSs) have been originally proposed to allow for modeling uncertainty associated with the membership grades of Type-1 (T1) FSs. However, because of the computational complexity associated with the processing of GT2 FSs, only their constrained version, the Interval T2 (IT2) FSs, have been widely used.
Ondrej Linda, Milos Manic
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Centroid of a type-2 fuzzy set
Information Sciences, 2001The authors, continuing their previous papers, define the centroid and the generalized centroid of a type-2 fuzzy set and show how to compute them, making use of the product t-norm for practical purpose. In general these computations are highly intensive, but the authors prove that, in the case of interval type-2 fuzzy sets, these procedures are very ...
Karnik, Nilesh N., Mendel, Jerry M.
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2013
This chapter gives a review and technical overview of the geometric representation of a type-2 fuzzy set and explores logical operators used to manipulate this representation. Geometric fuzzy logic provides a distinct way of understanding a fuzzy system, where fuzzy sets and fuzzy logic operators are seen purely as geometric objects which are ...
Simon Coupland, Robert John
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This chapter gives a review and technical overview of the geometric representation of a type-2 fuzzy set and explores logical operators used to manipulate this representation. Geometric fuzzy logic provides a distinct way of understanding a fuzzy system, where fuzzy sets and fuzzy logic operators are seen purely as geometric objects which are ...
Simon Coupland, Robert John
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